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A159811 Decimal expansion of (105507 + 65798*sqrt(2))/223^2.

%I A159811 #10 Sep 08 2022 08:45:44
%S A159811 3,9,9,2,8,2,9,6,1,6,0,5,9,5,4,0,8,7,1,9,4,7,0,2,3,1,5,9,0,3,2,9,5,2,
%T A159811 8,8,8,1,2,8,2,0,0,2,4,6,4,5,6,8,4,4,6,8,4,5,6,7,9,4,1,7,1,2,0,8,5,7,
%U A159811 8,9,2,9,0,3,1,0,4,7,7,1,6,5,0,8,0,2,9,1,1,5,7,7,4,8,8,0,1,7,0,9,3,2,0,8,8
%N A159811 Decimal expansion of (105507 + 65798*sqrt(2))/223^2.
%C A159811 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130609.
%C A159811 Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159809.
%H A159811 G. C. Greubel, <a href="/A159811/b159811.txt">Table of n, a(n) for n = 1..10000</a>
%F A159811 Equals (394 + 167*sqrt(2))/(394 - 167*sqrt(2)).
%F A159811 Equals (3 + 2*sqrt(2))*(15 - sqrt(2))^2/(15 + sqrt(2))^2.
%e A159811 (105507+65798*sqrt(2))/223^2 = 3.99282961605954087194...
%t A159811 RealDigits[(105507 + 65798*Sqrt[2])/223^2, 10, 100][[1]] (* _G. C. Greubel_, May 19 2018 *)
%o A159811 (PARI) (105507+65798*sqrt(2))/223^2 \\ _G. C. Greubel_, May 19 2018
%o A159811 (Magma) (105507+65798*Sqrt(2))/223^2; // _G. C. Greubel_, May 19 2018
%Y A159811 Cf. A130609, A159809, A002193 (decimal expansion of sqrt(2)), A159810 (decimal expansion of (227+30*sqrt(2))/223).
%K A159811 cons,nonn
%O A159811 1,1
%A A159811 _Klaus Brockhaus_, Apr 30 2009